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Finding the Fourth Proportional to 15,923.50, 21,976.84 and 11,462.02

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Solution

The fourth proportional to 15,923.50, 21,976.84 and 11,462.02 is: 15,819.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,923.50 : 21,976.84 = 11,462.02 : x
  2. Step 2: Convert to fraction form
    15,923.50/21,976.84 = 11,462.02/x
  3. Step 3: Cross multiply
    15,923.50x = 21,976.84 × 11,462.02
  4. Step 4: Simplify right side
    15,923.50x = 251,898,979.62
  5. Step 5: Solve for x
    x = 251,898,979.62/15,923.50
  6. Step 6: Final answer
    x = 15,819.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.